Maths

Reducing Equations to Simpler Form

Reducing equation is a method of rewriting the equation in a simpler form. Certain equations in math ...

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Construction of Quadrilaterals: Part II

Before talking about the construction of quadrilaterals, let us recall what a quadrilateral is. A qu ...

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Area of a Circle

Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determ ...

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Parallelogram, Trapezium and Kite

Before talking about the types of quadrilaterals, let us recall what a quadrilateral is. A quadrilat ...

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Recurrence Relation

A recurrence relation is an equation which represents a sequence based on some rule. It helps in fin ...

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Construction of Parallel Lines

Have you ever observed the railway tracks or the opposite edges of a door? One of the interesting fa ...

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Area of Ellipse

Definition An ellipse is a curve on a plane such that the sum of the distances to its two focal poi ...

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Partial Derivative

The partial derivative is used in vector calculus and differential geometry. In Mathematics, sometim ...

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Rectangle

A Rectangle is a four sided-quadrilateral having all the internal angles to be right-angled (90o). ...

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Construction of Square

In this lesson, the steps for constructing a square are explained with diagrams. To recall, a square ...

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Area of Hemisphere

Definition : A hemisphere is the half part of a sphere. We can find many of the real-life examples ...

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Partial Fractions

An algebraic fraction can be broken down into simpler parts known as “partial fractions“. Consid ...

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Reciprocal

Reciprocal Definition Reciprocal in Mathematics means any expression which when multiplied by anoth ...

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Construction of Quadrilaterals

Before talking about the construction of quadrilaterals, let us recall what a quadrilateral is. A qu ...

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Area of Hexagon Formula

Definition : A polygon with six sides and six angles is termed as a Hexagon. Similarly, we have Pen ...

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Pascal's Triangle

History Blaise Pascal was born at Clermont-Ferrand, in the Auvergne region of France on June 19, 16 ...

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Real Numbers

Real numbers are simply the combination of rational and irrational numbers, in the number system. In ...

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Construction of Angles

Constructing angles like 60°, 30°, 120°, 90°, 45°, etc. without the use of a protector is an es ...

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Area of Isosceles Triangle

What is an isosceles triangle? An isosceles triangle is one which has at least two sides of equal l ...

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PEMDAS

In Mathematics, we do operations like addition, subtraction, multiplication and division. These oper ...

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Ratio to Percentage

Ratio to percentage conversion process helps to represent a number in ratio form in terms of percent ...

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Constructing Triangles - SSS

The construction of triangle using SSS criteria is possible when all the three sides are known to us ...

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Area of Parallelogram

Area of Parallelogram is the region bounded by the parallelogram in a given two-dimension space. A p ...

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Pentagonal Prism

A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular ...

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Rational numbers on a number line

A rational number is any real number that can be expressed as a simple fraction or ratio. By definit ...

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Constructing Triangles - ASA

For the ASA criterion to be satisfied, the given side must necessarily be the one that is enclosed b ...

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Area Of Polygon

You are already acquainted with the term area. It is defined as the region occupied inside the bound ...

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Percentage: Means of Comparing Quantities

In our daily life, we handle lots of situations, quantities, etc. Sometimes we have to measure and c ...

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Rational Number Between Two Rational Numbers

A rational number is a number which can be written in the form of \(p/q\) (ratio) where the denomin ...

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Constructing Angles with a Protractor

Before talking about constructing angles with a protractor, let us quickly recall angles and their t ...

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Area Of Quadrant

What is Quadrant? A circle is defined as the locus of all the points that are equidistant from the ...

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Percent to Fraction and Decimal Numbers

Percent and fractions are usually used in our daily life to relate and compare quantity. For example ...

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Rational Function & Rational Number

Rational Function: In past grades, we learnt the concept of rational number. It is the quotient or ...

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Connectivity

In Mathematics, the meaning of connectivity is one of the fundamental concepts of graph theory. It d ...

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Area of Rectangle

Area of rectangle is the region covered by the rectangle in a two-dimensional plane. The surface are ...

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Perfect Numbers

What are the Perfect Numbers? Definition: A Perfect Number N is defined as any positive integer whe ...

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Rational and Irrational Numbers

In this article, we are going to explain about rational and irrational numbers in detail and differe ...

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Cone

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circ ...

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Area of Scalene Triangle

Area of Scalene Triangle Definition: A Scalene triangle has three random (Unequal) sides/lengths an ...

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Perimeter of Polygons

Have you ever walked around the corner (or edge) of a park. After completion of a whole round the di ...

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Random Variable

In probability, a real-valued function, defined over the sample space of a random experiment, is cal ...

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Concurrent Lines

Concurrent lines are the lines, in 2-D geometry, which intersect each other exactly at one point. Th ...

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Area of Shapes

An area is a quantity that expresses the extent of a two-dimensional figure or shape or planar lamin ...

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Formula of Perimeter Shapes

We come across many shapes in daily life.  Consider a triangle, a rectangle, a square or any other ...

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Radius of a Circle and Chord

Radius of a circle: A circle can be defined as locus of a point moving in a plane, in such a manner ...

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Concentric Circles

In Geometry, the objects are said to be concentric, when they share the common center. Circles, sphe ...

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Area & Volume of Sphere

A sphere is a solid figure bounded by a curved surface such that every point on the surface is the s ...

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Perimeter of Triangle

Perimeter of Triangle: The Perimeter of any two-dimensional figure is defined as the distance around ...

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Quotient Rule

In Calculus, the Quotient rule is a method for determining the derivative (differentiation) of a fun ...

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Components of a Vector

Orthogonal vectors: Vectors can be easily represented using the co-ordinate system in three dimensi ...

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Area of Square Using Diagonals

Apart from the traditional method of finding the area of the square by squaring the sides, there’s ...

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Permutation

Permutation is an arrangement of objects in a definite order. When we look at the schedules of train ...

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Quartiles

In statistics, Quartiles are the set of values which has three points dividing the data set into fou ...

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Complement of a Set

Sets Definition A well-defined collection of objects or elements is known as a set. Any set consist ...

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Area and Perimeter Formula

Area and Perimeter Formula are the two major formulas for any given shapes or sizes in Mathematics. ...

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Perpendicular Bisector

While working with practical geometry, you will often find the application of perpendicular bisector ...

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Quadrilateral

In Geometry, the shapes or objects are classified based on the number of sides. The different classi ...

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Comparing Fractions

A fraction is defined as a part of a whole or any number of equal parts. Sometimes it is required to ...

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Area of a Triangle in Coordinate Geometry

Area of a triangle Triangle is the basic polygon which has 3 edges and 3 vertices. Area of the tria ...

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Perpendicular Lines

Perpendicular lines around us: Have you observed the Red Cross sign keenly or the squares of a Rubi ...

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Quadratic Formula

Quadratic Formula help to evaluate the solution of quadratic equation replacing the factorization me ...

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Supplementary and Complementary Angles

Supplementary angles and complementary angles are defined with respect to the addition of two angles ...

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Argand Plane & Polar Representation of Complex Number

Argand Plane We all know that the pair of numbers (x,y) can be represented on an XY-plane, where x ...

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Pictograph

Suppose you were given some random people’s names and their phone numbers and asked to arrange the ...

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Pythagorean Triples

Pythagorean Theorem The integer solutions to the Pythagorean Theorem, a2 + b2 = c2 are called Pytha ...

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Completing The Square Method

Completing the square method is one of the methods to find the roots of the given quadratic equation ...

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Arithmetic Geometric Sequence

Arithmetic Geometric sequence is the fusion of an arithmetic sequence and a geometric sequence. An ...

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Pictorial Representation of Data: Bar Graph and Double Bar Graph

As the humanity flourished and population increased, so did the amount of trade and transaction in t ...

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Pyramid

A pyramid is defined as a three-dimensional structure encompassing a polygon as its base. You must h ...

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Composite Numbers

Definition of composite numbers: Composite numbers are the numbers which have factors other than 1 ...

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Arithmetic Mean and Range

Representative Values In statistics, the arithmetic mean (AP) or simply called average is the sum o ...

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Place Value in Maths

Place value in Maths describes the position or place of a digit in a number. Each digit has a place ...

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Properties of Rectangle

A rectangle is a two-dimensional plane figure with four sides. A rectangle is a four-sided polygon i ...

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Calculus

Calculus is all about the comparison of quantities which vary in a one-liner way. Calculus is the br ...

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Arithmetic Mean & Statistics

In the early morning while reading a newspaper, have you observed the daily temperature reports. Wel ...

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Polygon

What are Polygons? A Polygon is a closed figure made up of lines segments (not curves) in two-dim ...

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Properties of Parallel Lines

Before talking about lines which are parallel to the same line, let us recall what parallel lines ar ...

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Cardinal Numbers

The cardinal numbers are the numbers which are used for counting of something. These are also said t ...

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Arithmetic Progression

Arithmetic Progression (AP) is a sequence of numbers in a particular order. If we observe in our re ...

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Polynomials

What is Polynomial Polynomials are expressions which are composed of two algebraic terms. It is ma ...

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Properties of Matrices Inverse

If A is a non-singular square matrix, there is an existence of n x n matrix A-1, which is called the ...

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Define Central Limit Theorem

The Central Limit Theorem defines that the mean of all the given samples of a population is the same ...

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Arithmetic Series - Sum of n terms

Arithmetic Series A sequence is the set of the outputs of a function defined from the set of natura ...

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Polynomial Equations

Polynomial equations are one of the major concepts of Mathematics, where the relation between number ...

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Properties of Integers

There are a few properties of integers which determines its operations. These principles or properti ...

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Centroid

In Geometry, the centroid is an important concept related to a triangle. A triangle is a three-sided ...

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Associative Property

Mathematical equations have their own manipulative principles. These principles or properties help u ...

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Polynomial Function

A polynomial function is a function which involves only non-negative integer powers of a variable in ...

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Properties of HCF and LCM

Properties of HCF and LCM: For the better understanding of the concept LCM (Lowest Common Multiple) ...

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Ceva's Theorem

Ceva’s theorem is a theorem regarding triangles in Euclidean Plane Geometry. Consider a triangle A ...

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Average

An average of a list of data is the expression of the central or typical value of a set of data. Mat ...

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Power Set

While studying mathematical logic, grouping elements into sets and observing the patterns within tho ...

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Properties of Cylinder

Geometry can be divided into two types: Plane Geometry Solid Geometry Plane geometry deals wi ...

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Chance and Probability

Suppose you go to watch a cricket match. When the match begins both the participating teams have an ...

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Axiomatic Probability

In the normal approach to probability, we consider random experiments, sample space and other events ...

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Prime Factorization

Prime factorization is a process of factoring a number in terms of prime numbers i.e. the factors wi ...

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Properties of Circle

Lines and circles are the important elementary figures in geometry. We know that a line is a locus o ...

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Chord of a Circle, Its Length and Theorems

Chord of a Circle Definition The chord of a circle can be defined as the line segment joining any t ...

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Basic Proportionality Theorem & Similar Triangles

Before we understand what Basic proportionality theorem states, we need to understand a few basics o ...

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Prime Factors

Definition of a Factor Factors are numbers that can be multiplied together to get another number. T ...

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